I lopped a ton and a half limb from my Ash tree last week, prior to using my chainsaw and because it was above one of my sheds adjacent to our mutual fence, cut the limb up threw the debri into the neighbors back yard removing it through their place.
This my answer is I have two Electric Chainsaws that make very little noise and can be used in a workshop effectively without excessive noise, over here they cost around 80 to a hundred dollars peace at a very good price IMHO.
I have had where I am now terrible experiences with previous neighbors in past years and can comprehend your righteous anger hang in there.
On the other side our neighbor is a single Mum with a 16 yr old daughter, she lost her husband before the girl was born, when the Mum goes to work, the daughter now in college (different system to yours) her dog around the size of a German Shepherd howls until we pick him up and instal him in our front built in verandah until either of the owners return home. They are really torn now they have bought their first house away from us. Once I said to her you never have to worry about me as a male neighbor I love your dog , she became offended for a short time. This after drunken share housing on the tree side previously where I turned the hose on 15 young guys peeing on our fence at a party there, explosions and horrible behaviour, and on the other side violent temper attitude from migrant family activity years ago. We have had several cats in controlled spaces in our place for over twenty years and two dogs so we keep the neighbors dog separated as the Irish say to be sure to be sure.
I find that my Electric Chainsaws have plenty of grunt with no bad behaviors, new chains at twenty odd dollrs a neighbor saver.
Kind regards Peter.